Formula:KLS:09.08:85

<< Formula:KLS:09.08:84

formula in Jacobi: Special cases

Formula:KLS:09.08:86 >>

${\displaystyle{\displaystyle{\displaystyle V_{n}\left(-x\right)=(-1)^{n}W_{n}\left(x\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle V_{n}}}}$ : Chebyshev polynomial of the third kind : http://dlmf.nist.gov/18.3#T1.t1.r14
${\displaystyle{\displaystyle{\displaystyle W_{n}}}}$ : Chebyshev polynomial of the fourth kind : http://dlmf.nist.gov/18.3#T1.t1.r17

Bibliography

Equation in Section 9.8 of KLS.

URL links

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<< Formula:KLS:09.08:84

formula in Jacobi: Special cases

Formula:KLS:09.08:86 >>